Answer: The length of BD is 2.4
Step-by-step explanation: BD is a leg of a right triangle, so use the
Pythagorean Theorem a² + b² = c²
BC is the hypotenuse here, so that is c = 3
We can use the segment CD as side b = 1.8
We will call BD side a, and solve to find that length.
a² + (1.8)² = 3² Square the known values of b and c
a² + 3.24 = 9 Subtract 3.24 from both sides.
a² = 9 - 3.24 Simplify
a² = 5.76 Find the square root of both sides (Calculator time!)
a = 2.4
<h2>
Translating Sentences into Equations</h2>
A key part of this is recognizing certain words to change into operations or numbers:
- <em>quotient</em> = divide
- <em>three more</em> = add 3
- <em>'a/the number' </em>= use a variable (in this case, it's <em>w</em>)
<h2>Solving the Question</h2>
We're given:
- Three more than the quotient of a number and 7 equals 6
⇒ 'the quotient of a number and 7' tells us we divide <em>w</em> by 7: - Three more than
equals 6
⇒ 'three more than' means we add 3 to the fraction: 
equals 6
<h2>Answer</h2>
If you put it into a calculator, you get 35/8 as a fraction and you can change it to a decimal and get 4.375.
The answer is 2
You multiply both sides by 2 (7y-16=-2)
Then move the constant to the right (7y=-2+16)
Then calculate the sum (7y=14)
The divide both sides by 7
Y=2
Answer:
A1(8,0)
B1(12,6)
C1(6,8)
Step-by-step explanation:
If its dilated by a scale factor of 1/2, that means for each x and y-coordinate you divide by 2 to get the new scale factor
Originally A(16,0) so now it would be A1(8,0)
Originally B(24, 12) so now it would be B1(12,6)
Originally C(12, 16) so now it would be C1(6,8)
